Area of a Triangle Calculator: The Triangle Area Calculator provided here helps you determine the Area of Triangle easily. You can find the area of triangle without any hassle by simply providing the base and height metrics in the input field. You will get the corresponding Area of Triangle thereafter in a fraction of seconds. Make your calculations much easier and faster with our handy calculator.
Get to know further information on What is Area of Triangle and how to calculate Area of Triangle using different methods.
What is meant by Area of Triangle?
The area is defined as the region occupied by the Triangle. Usually, Triangle is a two-dimensional figure that has three edges and three vertices. Depending on the sides and angles triangle can be classified into many types. The most important property of the triangle is that the sum of the interior angles of a triangle is 180 degrees. As triangle is a 2D figure it has both area and perimeter.
How to find the Area of Triangle?
Triangle is the most basic shape and almost everyone remembers it right from the school.
| Area of triangle = (1/2)bh Square Units |
Where b is the base of the triangle and h is the height of the triangle.
However, in certain cases, it is difficult to find the height of the triangle. In such cases, you can use different equations depending on the data you know about the triangle.
Three Sides(SSS)
If you know the three sides of a triangle then you can go with Heron’s formula i.e.
| Area = √(s * (s – a) * (s – b) * (s – c)) |
where “s” is the semi perimeter and is half of the perimeter of the triangle i.e. s = (a + b + c) / 2
the other way of getting the area is to use the lengths of the triangle itself instead of going with semiperimeter
i.e.
| Area = 0.25 * √((a + b + c) * (-a + b + c) * (a – b + c) * (a + b – c)) |
Two sides and the angle between them (SAS)
You can find the area of the triangle easily using trigonometric laws when you are given two sides and one angle.
| Area = 0.5 * a * b * sin(γ) |
γ is the angle between the sides a and b.
Two angles and a side between them (ASA)
You can use this formula when you are given one side and two angles.
| Area = = a² * sin(β) * sin(γ) / (2 * sin(β + γ)) |
γ and β are the angles along the given side a.
Example
Calculate the area of a triangle if the base and height are 4cm and 5cm respectively?
Solution:
The basic formula to find the Area of Triangle = (1/2)bh
Given Base = 4 Cm
Height = 5 Cm
Substitute the given values in the formula and on doing so we will get it as such
Area of Triangle = (1/2)4*5
= 0.5*4*5
= 10 cm2
How to use the Area of Triangle Calculator?
Go through the simple and easy steps on how to use the Area of Triangle Calculator. Follow the instructions carefully and arrive at the solution you want.
- Enter the values of base and height in the input field provided.
- And then, choose the metric you want to give base and height in cm, m, ft, yd, mi, etc. and click on the Area Button.
- Finally, the Area of Triangle will be displayed in the output section.
FAQs on Area of Triangle
1. What is the formula for finding the area of a triangle?
The area of the triangle can be found using the formula Area = (1/2)bh.
2. How do I calculate the Area of a Triangle?
You can find the area of a triangle using our calculator in a fraction of second.
3. What is the Area of Triangle for base 5 cm and height 7 cm?
Area of Triangle = (1/2)bh
= (1/2)5*7
= 0.5*5*7
= 17.5 Cm2
4. How to find the area of a triangle given three sides?
If you are given three sides of a triangle, you can find the area of the triangle using Heron’s formula i.e. Area = √(s * (s – a) * (s – b) * (s – c)).
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